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3 years ago

Write the coordinates of the vertices after a rotation 270° counterclockwise around the origin.

Mathematics

1 answer:

erastova [34]3 years ago

4 0

Answer:

The coordinates of the vertices after a rotation 270° counterclockwise around the origin will be:

U'(-4, 7), V'(-1, 7), W'(-2, 10)

Step-by-step explanation:

When a point P(x, y) is rotated 270° counterclockwise around the origin, we flip x and y and reverse the sign of x.

Thus,

The rule to rotate a point P(x, y) after a rotation 270° counterclockwise around the origin is:

P(x, y) → P'(y, -x)

In our case, we have the points

U(-7,-4)

V(-7,-1)

W(-10,-2)

Thus, the coordinates of the vertices after a rotation 270° counterclockwise around the origin will be:

P(x, y) → P'(y, -x)

U(-7,-4) → U'(-4, 7)

V(-7, -1) → V'(-1, 7)

W(-10, -2) → W'(-2, 10)

Therefore, the coordinates of the vertices after a rotation 270° counterclockwise around the origin will be:

U'(-4, 7), V'(-1, 7), W'(-2, 10)

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3 years ago

Read 2 more answers

Write the equation of line AB in slope-intercept form, given the points A(0,5) and B(-5,-10) . In your final answer, include all

Evgesh-ka [11]

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Step-by-step explanation:

1) First, find the slope between the pair of points. Use the slope formula $m = \frac{y_2-y_1}{x_2-x_1}$ . Substitute the x and y values of points A and B into the formula and simplify:

$m = \frac{(-10)-(5)}{(-5)-(0)} \\m = \frac{-10-5}{-5-0} \\m = \frac{-15}{-5} \\m = 3$

So, the slope is 3.

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$y = 3x + 5$

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3 years ago